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1152144 = 24347127
BaseRepresentation
bin100011001010010010000
32011112110000
410121102100
5243332034
640410000
712536010
oct4312220
92145400
101152144
11717694
12476900
13314556
1421dc40
1517b599
hex119490

1152144 has 100 divisors (see below), whose sum is σ = 3841024. Its totient is φ = 326592.

The previous prime is 1152121. The next prime is 1152149. The reversal of 1152144 is 4412511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9009 + ... + 9135.

21152144 is an apocalyptic number.

1152144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920512).

1152144 is an abundant number, since it is smaller than the sum of its proper divisors (2688880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1152144 is a wasteful number, since it uses less digits than its factorization.

1152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 1152144 is about 1073.3797091430. The cubic root of 1152144 is about 104.8340234887.

Adding to 1152144 its reverse (4412511), we get a palindrome (5564655).

It can be divided in two parts, 1152 and 144, that added together give a 4-th power (1296 = 64).

The spelling of 1152144 in words is "one million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 127 144 162 168 189 216 252 254 324 336 378 381 432 504 508 567 648 756 762 889 1008 1016 1134 1143 1296 1512 1524 1778 2032 2268 2286 2667 3024 3048 3429 3556 4536 4572 5334 6096 6858 7112 8001 9072 9144 10287 10668 13716 14224 16002 18288 20574 21336 24003 27432 32004 41148 42672 48006 54864 64008 72009 82296 96012 128016 144018 164592 192024 288036 384048 576072 1152144